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Finding the Fourth Proportional to 485.12, 728.32 and 431.36

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Solution

The fourth proportional to 485.12, 728.32 and 431.36 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 728.32 = 431.36 : x
  2. Step 2: Convert to fraction form
    485.12/728.32 = 431.36/x
  3. Step 3: Cross multiply
    485.12x = 728.32 × 431.36
  4. Step 4: Simplify right side
    485.12x = 314,168.12
  5. Step 5: Solve for x
    x = 314,168.12/485.12
  6. Step 6: Final answer
    x = 647.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.